Question:
A glass flask having mass 390 g and an interior volume of 500 $cm³$ floats on water when it is less than half filled with water. The density of material of the flask is
A glass flask having mass 390 g and an interior volume of 500 $cm³$ floats on water when it is less than half filled with water. The density of material of the flask is
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A glass flask having mass 390 g and an interior volume of 500 $cm$ floats on water when it is less than half filled with water. The density of material of the flask is
Updated On: Apr 15, 2026
- 0.8 g/cc
- 2.8 g/cc
- 1.8 g/cc
- 0.28 g/cc
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The Correct Option is B
Solution and Explanation
Step 1: Analysis
When half filled, it floats fully submerged: Mass of flask + mass of water in it = Total displacement weight. $390 + 250 = V \times 1 \text{ g/cc} \Rightarrow V = 640 \text{ cc}$ (outer volume).
Step 2: Material Volume
Volume of material = Outer volume - Inner volume = $640 - 500 = 140 \text{ cc}$.
Step 3: Density
Density $\rho = \frac{\text{mass}}{\text{volume}} = \frac{390}{140} \approx 2.8 \text{ g/cc}$.
Final Answer: (B)
When half filled, it floats fully submerged: Mass of flask + mass of water in it = Total displacement weight. $390 + 250 = V \times 1 \text{ g/cc} \Rightarrow V = 640 \text{ cc}$ (outer volume).
Step 2: Material Volume
Volume of material = Outer volume - Inner volume = $640 - 500 = 140 \text{ cc}$.
Step 3: Density
Density $\rho = \frac{\text{mass}}{\text{volume}} = \frac{390}{140} \approx 2.8 \text{ g/cc}$.
Final Answer: (B)
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